Problem 6

Jessie has some chickens and rabbits. There are 30 heads and 76 legs in all. How many chickens

does Jessie have and how many rabbits does Jessie have?

8 rabbits

22 chickens

Step-by-step explanation:

c = chickens

r = rabbits

heads - c + r = 30

legs - 2c + 4r = 76

We can now use these two equations to create one by isolating the variable (c) in the first equation.

c = 30 - r

2c + 4r = 76

2 (30 - r) + 4r = 76

60 - 2r + 4r = 76

2r = 16

r = 8

Now we know that there are 8 rabbits, which means that there has to be 22 chickens in order to have 30 heads.